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508048380 = 2232572347373
BaseRepresentation
bin11110010010000…
…011001111111100
31022101222112100200
4132102003033330
52020030022010
6122225123500
715406224420
oct3622031774
91271875320
10508048380
112408642a4
12122189590
1381342558
144b68cb80
152e907cc0
hex1e4833fc

508048380 has 288 divisors, whose sum is σ = 1881944064. Its totient is φ = 108421632.

The previous prime is 508048327. The next prime is 508048399. The reversal of 508048380 is 83840805.

It is a super-2 number, since 2×5080483802 = 516226312841248800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1361874 + ... + 1362246.

It is an arithmetic number, because the mean of its divisors is an integer number (6534528).

Almost surely, 2508048380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 508048380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940972032).

508048380 is an abundant number, since it is smaller than the sum of its proper divisors (1373895684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

508048380 is a wasteful number, since it uses less digits than its factorization.

508048380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 508048380 is about 22539.9285713154. The cubic root of 508048380 is about 797.9365468607.

The spelling of 508048380 in words is "five hundred eight million, forty-eight thousand, three hundred eighty".